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Finding the Third Proportional to 319,827,980 and 483,678,569

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Solution

The third proportional to 319,827,980 and 483,678,569 is: 731,471,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,827,980 : 483,678,569 = 483,678,569 : x
  2. Step 2: Convert to fraction form
    319,827,980/483,678,569 = 483,678,569/x
  3. Step 3: Cross multiply
    319,827,980x = 483,678,569 × 483,678,569
  4. Step 4: Simplify right side
    319,827,980x = 233,944,958,109,887,776
  5. Step 5: Solve for x
    x = 233,944,958,109,887,776/319,827,980
  6. Step 6: Final answer
    x = 731,471,205.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.